Deterministic behaviour in the dynamics of solar metric radio bursts with intermediate drifting patterns
- 109 Downloads
- 3 Citations
Abstract
The dynamic characteristics of solar metric radio bursts with intermediate drifting patterns (fiber bursts) as they evolve at fixed frequency are examined. The data were recorded using the radio polarimeter of the Trieste Astronomical Observatory. The aim is to determine if the underlying process can be described as a deterministic chaos. Correlation dimensions and Hurst exponent are estimated showing deterministic chaotic system of low dimension.
Keywords
Intermediate drift bursts Radio emission Non-linearity Deterministic chaosNotes
Acknowledgements
A.L. Méndez Berhondo acknowledges Profs. S.M. Radicella (Head, Telecommunications/ICT for Development Laboratory-ICTP), M. Messerotti (INAF-Astronomical Observatory of Trieste) and D. Treleani (Abdus Salam ICTP-TRIL Program) for supporting his visits at the Basovizza Observing Station. Authors thanks to H. Aurass (Astrophysical Institute Potsdam) for his kindness in sending us the dynamic spectrum. Authors acknowledge the fruitful comments and suggestions of the anonymous reviewer.
References
- Aschwanden, M.J.: Theory of radio pulsations in coronal loops. Sol. Phys. 111, 113–136 (1987) ADSCrossRefGoogle Scholar
- Bernold, T.E.X., Treumann, R.A.: The fiber fine structure during solar type IV radio bursts: observations and theory of radiation in presence of localized whistler turbulence. Astrophys. J. 264, 677–688 (1983) ADSCrossRefGoogle Scholar
- Chernov, G.P.: Solar radio bursts with drifting stripes in emission and absorption. Space Sci. Rev. 127, 195–326 (2006) MathSciNetADSCrossRefGoogle Scholar
- Eckmann, J.P., Ruelle, D.: Ergodic theory of chaos and strange attractors. Rev. Mod. Phys. 57, 617–656 (1985) MathSciNetADSCrossRefGoogle Scholar
- Fraser, A.M., Swinney, H.L.: Independent coordinates for stranger attractors from mutual information. Phys. Rev. A 33, 1134–1140 (1986) MathSciNetADSCrossRefzbMATHGoogle Scholar
- Grassberger, P., Procaccia, I.: Characterization of strange attractors. Phys. Rev. Lett. 50, 346–349 (1983) MathSciNetADSCrossRefGoogle Scholar
- Isliker, H.: A scaling test for correlation dimensions. Phys. Lett. A 169, 313–322 (1992) ADSCrossRefGoogle Scholar
- Isliker, H., Benz, A.O.: Non-linear properties of the dynamics of bursts and flares in the solar and stellar coronae. Astron. Astrophys. 285, 663 (1994a) ADSGoogle Scholar
- Isliker, H., Benz, A.O.: On deterministic chaos, stationarity, periodicity and intermittency in coronal bursts and flares. Space Sci. Rev. 68, 185 (1994b) ADSCrossRefGoogle Scholar
- Kurths, J., Herzel, H.: Can a solar pulsation event be characterized by a low-dimensional chaotic attractor? Sol. Phys. 107, 39 (1986) ADSCrossRefGoogle Scholar
- Kurths, J., Karlicky, M.: The route to chaos during a pulsation event. Sol. Phys. 119, 399 (1989) ADSCrossRefGoogle Scholar
- Kurths, J., Benz, A.O., Aschwanden, M.J.: The attractor dimension of solar decimetric radio pulsations. Astron. Astrophys. 248, 270 (1991) ADSGoogle Scholar
- Kuznetsov, A.A.: Generation of intermediate drift bursts by magnetohydrodynamic waves in the solar corona. Sol. Phys. 237, 153–171 (2006) ADSCrossRefGoogle Scholar
- Mandelbrot, B.B., Wallis, J.R.: Robustness of the rescaled range R/S in the measurement of noncyclic long run statistical dependence. Water Resour. Res. 5, 967–987 (1969) ADSCrossRefGoogle Scholar
- Slottje, C.: Peculiar absorption and emission microstructures in the type IV solar radio outburst of March 2, 1970. Sol. Phys. 25, 210–231 (1972) ADSCrossRefGoogle Scholar
- Slottje, C.: Atlas of fine structures of dynamic spectra of solar type IV-dm and some type II radio bursts. PhD Thesis, Utrecht University, Netherlands (1981) Google Scholar
- Takens, F.: Detecting strange attractors in turbulence. Lect. Notes Math. 898, 366–381 (1981) MathSciNetCrossRefGoogle Scholar
- Veronig, A., Messerotti, M., Hanslmeier, A.: Determination of fractal dimensions of solar radio bursts. Astron. Astrophys. 357, 337 (2000) ADSGoogle Scholar
- Young, C.W., Spencer, C.L., Moreton, G.E., Roberts, J.A.: A preliminary study of the dynamic spectra of solar radio bursts in the frequency range 500–950 MC/s. Astrophys. J. 133, 243–260 (1961) ADSCrossRefGoogle Scholar